An apparatus for model selection between a first model and a second model using projector inferencing is provided. The apparatus includes a processor and a memory connected to the processor. The memory contains instructions configuring the processor to receive an entity datum from an entity device and a second datum from a client device connected to the processor. The second datum describes matching the entity datum based on a preferred allocation with target values using the models. The processor may run two projectors capable of outputting operational values by projecting the entity datum over a defined duration. The processor may score operational values to target values using a fuzzy inferencing system. Scoring the operational values may include classifying an operational value and the second datum to categories organized sequentially in multiple discrete increments.